| 关于矩阵迹的不等式 |
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| 引用本文： | 郑玉敏,崔润卿,郑玉歌.关于矩阵迹的不等式[J].数学的实践与认识,2010,40(8). |
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| 作者姓名： | 郑玉敏 崔润卿 郑玉歌 |
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| 作者单位： | 河南理工大学,数学与信息科学院,河南,焦作,454000 |
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| 基金项目： | 河南省自然科学基金(0611055600) |
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| 摘 要： | 讨论了满足条件RA,B]≤1的矩阵和的平方的迹的不等式,并利用经典的H(o|¨)lder不等式和Minkowski不等式,证明了半正定Hermiter矩阵迹的H(o|¨)lder不等式和矩阵迹的Minkowski不等式的推广不等式.
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| 关 键 词： | 半正定矩阵 Hermiter矩阵 矩阵迹 |
Inequality about Trace of Matrix |
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| ZHENG Yu-min,CUI Run-qing,ZHENG Yu-ge.Inequality about Trace of Matrix[J].Mathematics in Practice and Theory,2010,40(8). |
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| Authors: | ZHENG Yu-min CUI Run-qing ZHENG Yu-ge |
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| Institution: | ZHENG Yu-min,CUI Run-qing,ZHENG Yu-ge (School of Mathematics , Information Science,Henann Polytechnic University,Jiaozuo 454000,China) |
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| Abstract: | The inequalities of the trace to the square between the sum of matrices are considered under the condition of RA,B]≤1.By the classical H(o|¨)lder and the Minkowski inequalities,we generalize the H(o|¨)lder inequality of the semidefinite Hermitian matrix trace and Minkowski inequality of the matrix trace,respectively. |
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| Keywords: | positive semidefinite matrix Hermiter matrix trace of matrix |
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